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Differential Calculus

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19 Mar 2008 12:27:11 IST

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if f: [-5,5]--------->R is a differentiable function & if df(x)/dx does not vanish anywhere, prove that f(-5) is not equal to f(5)

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p karthik

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19 Mar 2008 12:30:02 IST

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what nanditha????? u wanna me 2 ans entire ncert txt book or wat!!! i cant certainly do it...bt there is 1 thing u can do!!!!

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nanditha chandrashekar

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19 Mar 2008 12:31:25 IST

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na ya by mistake i clicked submit so it was there now try to ans it i have edited

arpan1

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19 Mar 2008 12:33:55 IST

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it is easy to prove using LMVT

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nanditha chandrashekar

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19 Mar 2008 12:35:55 IST

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jus do it 4 me na pls

arpan1

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19 Mar 2008 12:43:21 IST

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see since dy/dx is not zero anywhere it must either b strictly increasing or decreasing over given interval...

hence y cannot b same for any 2 different values of x

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joy francis

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19 Mar 2008 19:45:17 IST

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edited**

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